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Differential Equations in Distributions

In: Distribution Theory Applied to Differential Equations

Author

Listed:
  • Adina Chirilă

    (Transilvania University of Braşov, Department of Mathematics and Computer Sciences)

  • Marin Marin

    (Transilvania University of Braşov, Department of Mathematics and Computer Sciences)

  • Andreas Öchsner

    (Esslingen University of Applied Sciences, Faculty of Mechanical Engineering)

Abstract

This chapter presents both ordinary and partial differential equations in distributions. Linear differential equations with constant coefficients are discussed in the framework of the theory of distributions. Hyperbolic, parabolic and elliptic partial differential equations are solved by means of the Fourier transform. The Cauchy problem is discussed.

Suggested Citation

  • Adina Chirilă & Marin Marin & Andreas Öchsner, 2021. "Differential Equations in Distributions," Springer Books, in: Distribution Theory Applied to Differential Equations, chapter 0, pages 167-195, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-67159-4_8
    DOI: 10.1007/978-3-030-67159-4_8
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